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Trains are leaving station A for station B every 15 minutes

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Trains are leaving station A for station B every 15 minutes [#permalink] New post 26 Aug 2008, 08:43
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Trains are leaving station A for station B every 15 minutes starting 8:00 am. The distance between the stations is 80 km. If a train leaves station B for station A at 11:05 am, how many oncoming trains will it meet?

1. Trains from station A to station B travel at 40 kmh
2. The train from station B to station A travels at 40 kmh
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Re: m21 q6 DS [#permalink] New post 26 Aug 2008, 08:44
i am having some doubts with the OA. will ask once someone has posted an answer.
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Re: m21 q6 DS [#permalink] New post 26 Aug 2008, 09:06
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sset009 wrote:
Trains are leaving station A for station B every 15 minutes starting 8:00 am. The distance between the stations is 80 km. If a train leaves station B for station A at 11:05 am, how many oncoming trains will it meet?

1. Trains from station A to station B travel at 40 kmh
2. The train from station B to station A travels at 40 kmh


I would go with C.

You need to know how many trains going from A to B are on the tracks 3 hours and 5 minutes after 8am. This requires you to know (1).

But that is not enough. You also need to know how many trains depart from station A in between 11:05 and the train's arrival at Station A. For this, you need to know how long the train takes to travel from B to A.
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Re: m21 q6 DS [#permalink] New post 26 Aug 2008, 23:03
just a thought
since u know the speed of train leaving from B to A, and teh distrance, u know how long it will travel
so wont it just meet trains at 15 minute intervals irrespetive of how fast they travel?

do u really need the information of speed of train fro A to B?
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Re: m21 q6 DS [#permalink] New post 27 Aug 2008, 00:32
Answer should be C

You need to know speed of trains from A->B so that you can discard trains that have reached before 11.05
However this information alone is not sufficient as we need to know the speed of train from B->A. For example if this train is an express train traveling at 400km/h it would take less time to travel and hence meet fewer trains. However if this train is a slow coach traveling at 1km/hr it would meet a lot more trains. Both speeds are necessary.
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Re: Trains are leaving station A for station B every 15 minutes [#permalink] New post 29 May 2014, 01:51
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Re: Trains are leaving station A for station B every 15 minutes [#permalink] New post 03 Jun 2014, 08:05
From (1) we get that train leaving from station A takes 2 hours to reach station B.
But We are not given the speed of the trains leaving station B.
Therefore Time taken for Train to reach from station A to B = ? . Not SUfficient
From (2) it's Exactly the opposite of Option (1). Hence Not Sufficient

Combining (1) and(2) we get the Time taken by train to travel from each side and hence no of Oncoming trains can be calculated. Sufficient

P.S: Since this is a DS question we don't have to get the exact number

Hope This Helps

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Re: Trains are leaving station A for station B every 15 minutes   [#permalink] 03 Jun 2014, 08:05
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